Solve, Vector with elements are whole numbers.

[lvl107]

  Hello, Everyone.

       The Question is : How to solve vector v with elements are whole numbers ?

             Thanks in advance for your time and help.

                    Best Regards.

[AlvaroDíaz]

Hi.

You can't. With hope, for 9 unknown independent variables, you need at least 9 equations, or for some kind of situations, some restrictions. Here, the restriction to be natural numbers seems to be not enough.

Suppose that you know that a + b = 5. Then, you can solve for some "originals" a nor b.

Best regards.

Alvaro.

[lvl107]

Change from "whole" to "integer" :

                      Regards.

[AlvaroDíaz]

Ok, I see now. What you do was a variation of the partial fraction decomposition. What you need to do, them, it's given a rational number, obtain this decomposition. The normal decomposition uses "división entera" (in spanish, don't know the words in english) operation, where can use the mod operator, but usually it's done with celing.

In the attached, your equivalent procedure, with a pseudo cumulant matrix.

Best regards.

Alvaro.

[lvl107]

  Or the similar question :

        How to create a program function to solve vector v ?

              Regards.

[lvl107]

  I don't know how to create a program function to solve vector v, the above, and just solve it with "by hand" :

           Best Regards.